Bibounded uo-convergence and b-property in vector lattices

Date

2021-01-01

Author

Alpay, Safak
Emelyanov, Eduard
Gorokhova, Svetlana

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We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that for a regular Riesz dual system ⟨ X, X∼⟩ , X has b-property if and only if the order convergence in X agrees with the order convergence in X∼ ∼.

Subject Keywords

b-property, Banach lattice, Order dual, Regular Riesz dual system, Unbounded order convergence, Vector lattice

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106931550&origin=inward
https://hdl.handle.net/11511/91095

Journal

Positivity

DOI

https://doi.org/10.1007/s11117-021-00840-7

Collections

Department of Mathematics, Article

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Citation Formats

S. Alpay, E. Emelyanov, and S. Gorokhova, “Bibounded uo-convergence and b-property in vector lattices,” Positivity, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106931550&origin=inward.